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1. CMB 2015 (vol 58 pp. 869)

Wright, Thomas
 Variants of Korselt's Criterion Under sufficiently strong assumptions about the first term in an arithmetic progression, we prove that for any integer $a$, there are infinitely many $n\in \mathbb N$ such that for each prime factor $p|n$, we have $p-a|n-a$. This can be seen as a generalization of Carmichael numbers, which are integers $n$ such that $p-1|n-1$ for every $p|n$. Keywords:Carmichael number, pseudoprime, Korselt's Criterion, primes in arithmetic progressionsCategory:11A51
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